Hypotenuse of an isosceles triangle is 10cm. Find other two sides of the triangle

A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show that the minimum length of the hypotenuse is (a^(2//3) + b^(2//3))^(3//2) .

One angle of an isosceles triangle is 60^(circ) . What are the other two angles?

One angle of an isosceles triangle is 80^(circ) . What are the other two angles?.

The hypotenuse of a right triangle is 1 1/2 meters and another side is 1/2 meter. Calculate its perimeter correct to a centimeter.

In the picture below, the top vertex of a triangle is joined to the midpoint of the bottom side of the triangle and then the midpoint of this line is joined to the other two vertices. Prove that the areas of all four triangles obtained thus are equal to a fourth of the area of the whole triangle.

In the picture below, the top vertex of a triangle is joined to the midpoint of the bottom side of the triangle and then the midpoint of this line is joined to the other two vertices. Prove that the areas of all four triangles obtained thus are equal to a fourth of the area of the whole triangle.

A square is drawn on the altitude of an equilateral triangle of side 4 cm. a) What is the altitude of the triangle? b) What is the area and perimeter of the square?

In the figure small triangles are drawn joining the mid points of large triangle. Find the length of sides of large triangle.